Bernstein equiconvergence and Fejér-type theorems for general rational Fourier series

DOI10.1016/S0377-0427(00)00662-2zbMath0993.42011OpenAlexW2089499232MaRDI QIDQ5946633

Patrick Van Gucht, Adhemar Bultheel

Publication date: 20 September 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00662-2

zbMATH Keywords

equiconvergenceFourier series in orthogonal rational functions

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (1)

Fejér-type positive operator based on Takenaka-Malmquist system on unit circle

Cites Work

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• On the convergence of multipoint Padé-type approximants and quadrature formulas associated with the unit circle
• Boundary asymptotics for orthogonal rational functions on the unit circle
• Orthogonal rational functions and tridiagonal matrices
• A class of orthogonal polynomials

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